Math Problem Statement
(X²+6x+9)÷(x+3)
Solution
The given expression is:
Now, let's simplify it:
- First, factor the numerator:
- Now, rewrite the expression:
- Since is common in both the numerator and denominator, cancel out one factor of :
So, the simplified expression is:
Would you like more details or have any questions?
Here are 5 related questions you might find interesting:
- How do you factor quadratic expressions like ?
- Can all quadratics be factored in a similar manner?
- What happens if in the original expression?
- How do you handle rational expressions with more complex numerators and denominators?
- What if the denominator had an additional factor?
Tip: Always check for factors in the numerator and denominator before simplifying expressions.
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Math Problem Analysis
Mathematical Concepts
Algebra
Factoring Quadratics
Simplification of Rational Expressions
Formulas
Factoring a perfect square trinomial: (x + a)^2 = x^2 + 2ax + a^2
Theorems
Factorization Theorem
Cancellation Law in Rational Expressions
Suitable Grade Level
Grades 8-10
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